Answer:
i think 14 ppl can get in the van
Step-by-step explanation:
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
square root of 44,100 by division
210 IS THE POSSIBLE ANSWER
The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]The Coordinates of Point C are C( x , y ) = [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).
And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex] = [tex]\frac{-1}{\frac{-1}{3} }[/tex] ⇔ 3.
Let the coordinate of D be (a, b) then⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store.
Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery
Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East
Who reaches the store first? By how much time (in hours)? Round to the nearest hundredth if
needed.
Answer:
Susie reaches the store first being ahead by 0.06 hours.
Step-by-step explanation:
20 miles going 45 miles/hour.
20 miles / (45 miles / hour) = 20 miles hours / 45 miles =
= 20 hours / 45 = 4/9 hours = 0.44 hours
25 miles going 50 miles/hour.
25 miles / (50 miles / hour) = 25 miles hours / 50 miles =
= 25 hours / 50 = 1/2 hours = 0.5 hours
So Susie needs less time (= arrives first).
the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours
as additional practice :
0.06 hours is 60 × 0.06 minutes.
60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.
Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR
0Answer:
Angle PTR is 136*
Step-by-step explanation:
In Question, We Have Given
Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .
Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)
Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .
Thus The Angle Of PTR is
∠PTR = 360* - ( 90*+90*+44*)
∠PTR = 360* - 224*
∠PTR = 136*
Diagram, Please Find In Attachment
Can anyone Help me on this ?
Answer: 52=y and 15=x
Step-by-step explanation:
Since we know m and n are parallel that means alternate exterior angles are equal to each other.
The angle with 8x+8= the angle above the one that says 3x+7
Two angles on a line add up to 180 so 8x+8+3x+7=180
Now we can solve
[tex]8x+8+3x+7=180\\(8x+3x)+(8+7)=180\\11x+15=180\\11x+15-15=180-15\\11x=165\\\frac{11x}{11} =\frac{165}{11} \\x=15[/tex]
Now we know that x=15
The angle y and the angle of 3x+7 are corresponding angles. Corresponding angles are congruent. Subbing in 15 for x we can solve for y
[tex]3(15)+7=y\\45+7=y\\52=y[/tex]
What is the missing side length in the triangle?
What do rectangles and parallelograms have in common?
A.
They are quadrilaterals that have four square corners.
B.
They are quadrilaterals that have two square corners.
C.
They are quadrilaterals that have all four sides equal in length.
D.
They are quadrilaterals that have opposite sides equal in length.
Answer:
They are quadrilaterals that have opposite sides equal in length.
Answer:
D. They are quadrilaterals that have opposite sides equal in length.
Step-by-step explanation:
Rectangles and parallelograms both have 2 sets of parallel sides. The parallel sides are of equal length.
Rectangles are special parallelograms that have 2 sets of corners that have 90 degree angles
Squares are special rectangles that have all 4 sides of equal lengths.
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10
900Answer:900
Step-by-step explanation:
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
16 people fill 1/4 of a bus. how many fill 1 bus
Answer:
64 people
Step-by-step explanation:
16 people : 1/4 bus
We need 1 bus so multiply each part by 4
16 people *4 : 1/4 bus *4
64 people : 1 bus
Answer:
64
Step-by-step explanation:
16 people fill 1/4 so you need to multiply it by 4 which equals 64
Good luck!
The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)
Answer:
B
Step-by-step explanation:
In fact in this case there is only a value of y when x is equal to 0
I've been stuck on this question. if you can help me out that will be awesome :D
(picture is the problem)
Answer:
5 Units!
Step-by-step explanation:
Give Brainiest answer to me! :D I neeeed itttt
Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,
HELP!!! please
Answer:
38
Step-by-step explanation:
triangle
Consider this equation..
Answer:
-27
Step-by-step explanation:
[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]
Answer:
45
Step-by-step explanation:
[tex]\sqrt{x^{4} } -y^{2}[/tex]
Plug in 3 for x and -6 for y
[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]
[tex]=\sqrt{3^4}+6^2[/tex]
[tex]=\sqrt{3^{4} } =3^{2}[/tex]
[tex]=3^2+6^2[/tex]
[tex]3^{2} =9[/tex]
[tex]=9+6^2[/tex]
[tex]6^{2} =36[/tex]
[tex]=9+36[/tex]
[tex]=45[/tex]
Find the function value. tan 240°
Answer:
Step-by-step explanation:
240 has a reference angle of 60 in the third quadrant. The side across from 60 is going to be negative in this quadrant, measuring -√3; the side adjacent to the angle is also negative in this quadrant, measuring -1. The tangent ratio is the side opposite the angle over the side adjacent to the angle, so
tan(240) = √3
Answer:
-240
Step-by-step explanation:
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
97.5 squared root + 1.96
Answer:
11.83
Step-by-step explanation:
97.5 squared root + 1.96
√97.5 + 1.96
9.87 + 1.96
= 11.83
Use the formula to solve for the given variable.
Solve
i = Prt
for i, given that
P = $8000,
r = 9%,
and
t = 4 1/2 years.
Answer:
8000 times 0.09 times 4.5
3240 is the amount of interest that will be gained
No files pls just type it in pls and thank you
Answer:♀️
Step-by-step explanation:
what is the solutions to the system of equations? written in plot form
y=1.5x-4
y=-x
Answer:
The solution to the equation is (1.6, -1.6)
Step-by-step explanation:
When you plot the equations on a graph, they intecept at 1.6 and -1.6.
What is the coefficient of the squared term in the parabola's equation?
What is the coefficient of the squared term in the parabola's equation?
Answer:
C.) 3
Will mark branliest please help
Answer:
base =7.6 cm
Step-by-step explanation:
area of a triangle =base * height/2
=11.02*2 =base *height
22.04=base *2.9
22.04/2.9 =base
7.6 =base
HELP MEEEE PLEASE HELPPPP
Answer: Fatima has $17.50
The step-by-step explanation found at the link at the bottom. Hope you understand!
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
may I please have help from anyone thank you so much !m
Answer:
Hello! answer: 512 cm3
Step-by-step explanation:
8 × 8 × 8 = 512 cm3
Answer have to be units please and thank you
i just need to know if i did this correct ! thank you
Answer:
<2 =55
<3 = 125
<4 = 55
Step-by-step explanation:
1 and 3 are vertical angles and vertical angles are equal<1 = <3 = 125
1 and 2 are supplementary angles so they add to 180
<1 + <2 = 180
125 + <2 =180
<2 = 180-125
< 2 = 55
Angle 2 and <4 are vertical angles so they are equal
<2 = <4 = 55
Help,anyone can help me do quetion.
Answer:
Step-by-step explanation:
The given figure is parallelogram becasue their opposite sides are equal.
68+45+30+x=180 degree (sum of adjacent sides of a parallelogram are equal)
143 +x=180
x=180-143
x=37 degree
y=45 degree
State the gradient of the equation 3x - 5y = 9.*
Answer:
3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
change equation into slope-intercept form to identify the slope easily:
y = mx+b where 'm' is slope
3x-5y = 9
subtract 3x from each side to get:
-5y = -3x + 9
divide each side by -5 to get:
y = 3/5x - 9/5
slope is 3/5
